Essentials of Solid Geometry |
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Αποτελέσματα 1 - 5 από τα 17.
Σελίδα 52
A polyhedral angle of three faces is called a trihedral angle . Polyhedral angles of
four , five , six , seven , · faces take the prefixes tetra- , penta- , hexa- , hepta- ,
Since , however , we rarely refer to polyhedral angles of more than three faces ...
A polyhedral angle of three faces is called a trihedral angle . Polyhedral angles of
four , five , six , seven , · faces take the prefixes tetra- , penta- , hexa- , hepta- ,
Since , however , we rarely refer to polyhedral angles of more than three faces ...
Σελίδα 53
The figure at the right shows a pair of these vertical dihedral angles . Proposition
17. Trihedral Angles 84. Theorem . If the three. Looked at from the point V , the
edges of ZV - ABCD are arranged counterclockwise ( from left to right ) in the
order ...
The figure at the right shows a pair of these vertical dihedral angles . Proposition
17. Trihedral Angles 84. Theorem . If the three. Looked at from the point V , the
edges of ZV - ABCD are arranged counterclockwise ( from left to right ) in the
order ...
Σελίδα 54
Trihedral Angles 84. Theorem . If the three face angles of one trihedral angle are
equal respectively to the three face angles of another , the trihedral angles are
either equal or symmetric . V ' V V ' R ' CA R R ' . P ' A Р PA A A \ BQ Y ' X ' Y X X ...
Trihedral Angles 84. Theorem . If the three face angles of one trihedral angle are
equal respectively to the three face angles of another , the trihedral angles are
either equal or symmetric . V ' V V ' R ' CA R R ' . P ' A Р PA A A \ BQ Y ' X ' Y X X ...
Σελίδα 55
84 TRIHEDRAL ANGLES 55 From any point P on VA construct PQ in the face
XVY and PR in the face XV2 , each I to VA . $ 13 , 1 Since SVAB and VAC are
equal és of isosceles A , ZVAB and VAC are acute . $ 8,4 Hence the Is PQ and
PR ...
84 TRIHEDRAL ANGLES 55 From any point P on VA construct PQ in the face
XVY and PR in the face XV2 , each I to VA . $ 13 , 1 Since SVAB and VAC are
equal és of isosceles A , ZVAB and VAC are acute . $ 8,4 Hence the Is PQ and
PR ...
Σελίδα 56
Mention three trihedral angles which may be found in a room , and state whether
they are equal , symmetric , or both equal and symmetric . 4. By consulting a
dictionary find the derivation of the words " dihedral , " " trihedral , " and "
polyhedral ...
Mention three trihedral angles which may be found in a room , and state whether
they are equal , symmetric , or both equal and symmetric . 4. By consulting a
dictionary find the derivation of the words " dihedral , " " trihedral , " and "
polyhedral ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
altitude base called chord circle circumscribed common compute cone congruent Consider construct Corollary corresponding cube cubic cylinder determine diagonal diameter dihedral angles dimensions distance divided Draw drawn edges equal equilateral equivalent Exercises faces figure Find the area Find the volume follows formed formula four frustum geometry given given line greater Hence inches included inscribed intersection lateral area lateral edges lateral faces length locus lune measured meet oblique opposite parallel parallel planes pass perpendicular plane polar pole polyhedral angles polyhedron prism projection Proof proportional Proposition Prove pyramid radii radius regular pyramid respectively segment shown shows sides similar Similarly slant height solid sphere spherical spherical triangle square straight line student surface symmetric tangent tetrahedron Theorem third total surface triangle triangular trihedral unit vertex vertices volume zone
Δημοφιλή αποσπάσματα
Σελίδα 7 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.
Σελίδα 40 - A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it.
Σελίδα 176 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Σελίδα 10 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Σελίδα 15 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 77 - The height of a cone is the perpendicular distance from the vertex to the plane of the base.
Σελίδα 3 - If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.
Σελίδα 24 - If a straight line is perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane of the two lines.
Σελίδα 16 - If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 15 - The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side.